10856581120 has 384 divisors, whose sum is σ = 33257952000. Its totient is φ = 3371827200.

The previous prime is 10856581111. The next prime is 10856581129. The reversal of 10856581120 is 2118565801.

It is an interprime number because it is at equal distance from previous prime (10856581111) and next prime (10856581129).

It is a self number, because there is not a number n which added to its sum of digits gives 10856581120.

It is not an unprimeable number, because it can be changed into a prime (10856581129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38635380 + ... + 38635660.

It is an arithmetic number, because the mean of its divisors is an integer number (86609250).

Almost surely, 2^10856581120 is an apocalyptic number.

10856581120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10856581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628976000).

10856581120 is an abundant number, since it is smaller than the sum of its proper divisors (22401370880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10856581120 is an equidigital number, since it uses as much as digits as its factorization.

10856581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 37.

The spelling of 10856581120 in words is "ten billion, eight hundred fifty-six million, five hundred eighty-one thousand, one hundred twenty".